Representation and Invariant Theory Reading Group

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Next lectures
22.07.2026, 13:00 (E2 10 (Leon-Lichtenstein))
24.07.2026, 13:00 (E2 10 (Leon-Lichtenstein))
29.07.2026, 13:00 (E2 10 (Leon-Lichtenstein))
31.07.2026, 13:00 (E2 10 (Leon-Lichtenstein))

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All meetings will take place in the Leon-Lichtenstein room (E2 10) between 13:00 and 15:00 (around 1.5 hrs to present followed by discussion). These will be live-streamed so that people who aren't in Leipzig can still attend, but we request that speakers be present in-person.

Block I (22 June - 3rd July)
Main reference: "Representation Theory: A First Course" by William Fulton and Joe Harris
22 June (Smita Rajan): Finite Groups (Part I)
26 June (Vincenzo Isoldi and Lauren Smyth): Lie groups and Lie algebras (Part II)
29 June (Viktoriia Borovik): Representations of Lie algebras (Chapter 14 and selected examples from Part III)
1 July (Otto Schmidt): Dynkin diagrams and complex Lie groups (Chapters 21 and 23)
3 July (Gregory Li and Claire de Korte): Weyl character formula, real Lie algebras and Lie groups (Chapters 24 and 26)

Block II (20th July - 31st July)
Main reference: "Computational Invariant Theory" by Harm Derksen and Gregor Kemper
22 July (Otto Schmidt and Hongmiao Yu): Preliminaries (Chapters 1 and 2)
24 July (Daniele Taufer and Bernd Sturmfels): Invariant theory of finite groups (Chapter 3)
29 July (Julian Weigert and Leonie Kayser): Invariant theory of reductive groups (Chapter 4)
31 July (Thiago Holleben and Katherine Tung): Applications of invariant theory (selected sections of Chapter 5)

Block III (31st of August - 4th of September)
Representation and Invariant Theory in Physics